Let X be a random variable which takes values in the set {1, 2, 3, 4, 5, 6, 7,…

Let X be a random variable which takes values in the set {1, 2, 3, 4, 5, 6, 7, 8}. Further, Pr(X = 1) = Pr(X = 2) = Pr(X = 5) = Pr(X = 7) = 1/6 and Pr(X = 3) = Pr(X = 4) = Pr(X = 6) = Pr(X = 8) = 1/12.

The expected value of X, denoted by E[X], is equal to ___________. (rounded off to two decimal places)